Question

Functions-
If 2f(x) - 3f(1/x) = x^2, determine f(2)

Answer 1

First write a = f(2) and b = f(1/2)

Setting first x = 2, from your equation:

2f(2) - 3f(1/2) = 4 i.e., 2a - 3b = 4

Set now x = 1/2,
2f(1/2) - 3f(2) = 1/4 i.e., 2b - 3a = 1/4

You now have two equations in two unknowns, a and b. Solve.

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